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Simplifying -8(a + -1) + -1(a + 4) = -14 Reorder the terms: -8(-1 + a) + -1(a + 4) = -14 (-1 * -8 + a * -8) + -1(a + 4) = -14 (8 + -8a) + -1(a + 4) = -14 Reorder the terms: 8 + -8a + -1(4 + a) = -14 8 + -8a + (4 * -1 + a * -1) = -14 8 + -8a + (-4 + -1a) = -14 Reorder the terms: 8 + -4 + -8a + -1a = -14 Combine like terms: 8 + -4 = 4 4 + -8a + -1a = -14 Combine like terms: -8a + -1a = -9a 4 + -9a = -14 Solving 4 + -9a = -14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9a = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -9a = -14 + -4 -9a = -14 + -4 Combine like terms: -14 + -4 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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